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Semigroup Theoretic Approach to Quasilinear Stochastic Hyperbolic Ito Integrodifferential Equations


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1 Applied Mathematics Division, Department of Chemical Technology, University of Bombay, Matunga, Bombay 400 019, India
     

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In this paper, we study quasilinear stochastic integro differential equations of the hyperbolic type in a Hilbert space. We first prove the existence and uniqueness of a mild solution. We also study some approximation problems associated with such class of equations.
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  • Semigroup Theoretic Approach to Quasilinear Stochastic Hyperbolic Ito Integrodifferential Equations

Abstract Views: 167  |  PDF Views: 0

Authors

T. E. Govindan
Applied Mathematics Division, Department of Chemical Technology, University of Bombay, Matunga, Bombay 400 019, India

Abstract


In this paper, we study quasilinear stochastic integro differential equations of the hyperbolic type in a Hilbert space. We first prove the existence and uniqueness of a mild solution. We also study some approximation problems associated with such class of equations.